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A closed‐form optimal tuning criterion for TMD in damped structures
Author(s) -
Ghosh Aparna,
Basu Biswajit
Publication year - 2007
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.176
Subject(s) - tuned mass damper , expression (computer science) , control theory (sociology) , vibration control , closed form expression , damper , point (geometry) , vibration , damping ratio , structural engineering , computer science , mathematics , engineering , control (management) , mathematical analysis , physics , geometry , quantum mechanics , artificial intelligence , programming language
The selection of optimum absorber parameters is of utmost importance in the case of vibration control by the tuned mass damper (TMD). This paper presents an alternative expression for the optimum tuning ratio of the TMD. It has been derived in closed‐form, based on the ‘fixed‐point’ theory of Den Hartog which had been proposed for the case of undamped structural systems. The present expression has the advantage of being applicable for damped structures. The values of the optimum tuning ratio have been derived from the expression proposed in this paper for different structural and damper parameters. These values of optimum tuning ratio have been compared with those obtained from existing theories as well as from those obtained numerically. A simulation study has also been carried out to examine the performance of the optimally designed TMD. Copyright © 2006 John Wiley & Sons, Ltd.